Maths Exam

1. Simplify 1

Simplify the following expression: $$ 2\times2(-2) - \left(1(-2) + -2\times6\right) $$
Correct Answer
$$ 6$$ or 6.00000

2. Simplify 2

Simplify the following expression: $$ \frac{4\times5 + -1 - -3}{2(-2)(-3)} $$
Correct Answer
$$ \frac{11}{6}$$ or 1.83333

3. Fractions 1

Simplify the following expression: $$ \frac{-5}{5} - \frac{2}{6} $$
Correct Answer
$$ \frac{-4}{3}$$ or -1.3333333333333333

4. Fractions 2

Simplify the following expression: $$ \frac{3}{2}\frac{-5}{4} $$
Correct Answer
$$ \frac{-15}{8}$$ or -1.875

5. Significant figures

1. Write the following to 2 significant figures: 111.93203
Correct Answer
110 or $$1.1\times10^{2}$$
2. Write the following to 3 significant figures: 290.03033
Correct Answer
290 or $$2.90\times10^{2}$$

6. Standard Form

1. Write the following in standard form to 4 significant digits: 19.1863
Correct Answer
$$1.919\times10^{1}$$
2. Write the following in standard form to 5 significant digits: 31940.1
Correct Answer
$$3.1940\times10^{4}$$

7. Significant figures

1. Write the following in preferred standard form to 2 significant digits: 2690
Correct Answer
$$2.7\times10^{3}$$
2. Write the following in preferred standard form to 5 significant digits: 0.0000004138064
Correct Answer
$$413.81\times10^{-9}$$

8. Simplify 2

Simplify the following expression: $$ \frac{-2 + 2 - \frac{5}{3}}{{\left(2 + 2\right)}^{2}} $$
Correct Answer
$$ \frac{-5}{48}$$ or -0.104167

9. Simplify 1

Simplify the following expression: $$ {\left(-6 + -3\right)}^{2} - \left(-6 + 5\right)\left(-5 + -4\right) $$
Correct Answer
$$ 72$$ or 72.0000

10. Simplify 2

Simplify the following expression: $$ 2\frac{3}{5}\left(1\times4 - (-4)\right) $$
Correct Answer
$$ \frac{48}{5}$$ or 9.60000


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